GIBBS MEASURES FOR THE POTTS-SOS MODEL WITH THREE STATES OF SPIN VALUES

Abstracts

We consider Potts and solid-on-solid model (so called mixed P-SOS model), with spin values which belong to a discrete set such as 0, 1, 2, …, m on an arbitrary branched Cayley tree. For the statement m=2, we obtain a special class of translation-invariant splitting Gibbs measures of the P-SOS model thanks to determining fixed points of a rational function.

Keywords : Gibss measure; P-SOS model; phase transition; fixed point.

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Posted July 20, 2018 06:38